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Name: ________________________ Mr. Art Date: _____________ Period: ___________ Review # _____ Quadratic Equations (Algebraically) Part I: Linear vs. Quadratic Equation Equation Type of Equation x2 + 6x + 5 = 0 3x + 7 = 10 x ( x - 3 ) = 10 Degree Part II: Multiple Choice Directions: Place the correct choice on the line to the left of each question. _____1) Which of the following is the solution set (roots) for y2 - y - 30 = 0? (1) {5, 6} (3) {-1, -30} (2) {-6, 5} (4) {-5, 6} _____2) What is the smallest member of the solution set of x2 + 4x = 45? (1) {- 9} (3) {5} (2) {9} (4) {– 5} _____3) Which of the following is the solution set for y2 = 64? (1) {-8, 8} (3) {8} (2) {64,-64} (4) {0, 64} _____4) The length of a rectangular window is 5 feet more than its width, w. The area of the window is 36 square feet. Which equation could be used to find the dimensions of the window? (1) w2 5w 36 0 (3) w2 5w 36 0 (2) w2 5w 36 0 (4) w2 5w 36 0 Part III: Short & Long Answer Directions: Show ALL work to receive full credit. SOLVE ALGEBRAICALLY! Remember: 1) When the problems provides variables No need for Let Statements 2) When you introduce the variable Let statements 5) Find the solution set for y2 – 3y = 28. 6) Find the positive root of the equation x(x – 2) = 35. 7) Solve for x: x 144 9 x 8) Solve for x: x2 x2 2x 1 3 9) The sum of the squares of two consecutive, positive is 61. Find the integers. 10) Two numbers are consecutive integers. The square of the lesser added to twice the greater is 37. Find the numbers. 11) Find two consecutive even integers such that the square of the smaller is 10 more than the larger. 12) The ratio of the measures of the length and width of a rectangle is 4:3. The area of the rectangle is 108 square feet. Find the dimensions of the rectangle. 13) The altitude of a parallelogram measures 11 centimeters less than its base. The area of the parallelogram is 80 square centimeters. Find the measure of its base and altitude. 14) The length of a rectangle is 4 times its width. The area of the rectangle is 144 square inches. Find the dimensions of the rectangle. 15) One number is 3 less than another number. Their product is 40. Find the numbers.